Exponent Rules and Simplification

The video tutorial explains how to simplify mathematical expressions using exponent properties. It covers dividing expressions with the same base, simplifying coefficients, and applying the power to power property. The tutorial also discusses simplifying fractions raised to a power and emphasizes the importance of following the order of operations when dealing with exponents.

What is the result of dividing x^11 by x^5?

• x^6

• x^5

• x^7

• x^16

If you have x^m / x^n, what is the simplified form?

• x^(m-n)

• x^(m+n)

• x^(m*n)

• x^(m/n)

How do you simplify the expression 6x^9 / 3x^2?

• 3x^11

• 3x^7

• 2x^11

• 2x^7

When simplifying (3/4)^2, what is the result?

• 9/16

• 6/8

• 3/4

• 12/16

What is the exponent rule applied when raising a power to another power?

• Subtract the exponents

• Divide the exponents

• Add the exponents

• Multiply the exponents

Which property is used when simplifying (3/4)^2?

• Power to power property

• Division property

• Addition property

• Subtraction property

How can you simplify a fraction raised to a power?

• Only raise the denominator to the power

• Only raise the numerator to the power

• Multiply the fraction by the power

• Raise both the numerator and denominator to the power

What is the result of simplifying x^9 / x^8 raised to the 6th power?

• x^48

• x^54

• x^1

• x^6

What should be done first according to the order of operations when simplifying expressions with exponents?

• Divide the exponents

• Add the exponents

• Multiply the exponents

• Simplify inside the parentheses

What is the simplified form of (x^1)^6?

• x^0

• x^1

• x^6

• x^7